The category of complete lattices as a category of algebras Export

@article{citeulike:1289327, abstract = {Complete lattices are regarded as algebras whose operations are joins and meets of arbitary arities. We show that, unlike algebras of classical algebraic theories, they admit implicit operations (operations compatible with homomorphisms) which are not induced by terms and that there are more than a proper class of such ” wild” operations. We show how they are related to terms.}, author = {Reiterman, Jan}, citeulike-article-id = {1289327}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF01211843}, day = {21}, doi = {10.1007/BF01211843}, journal = {Algebra Universalis}, keywords = {algebras, complete-lattices}, month = {October}, number = {3}, pages = {367--379}, posted-at = {2008-10-10 21:58:54}, priority = {2}, title = {The category of complete lattices as a category of algebras}, url = {http://dx.doi.org/10.1007/BF01211843}, volume = {26}, year = {1989} }

TY - JOUR ID - citeulike:1289327 L3 - citeulike-article-id:1289327 N2 - Complete lattices are regarded as algebras whose operations are joins and meets of arbitary arities. We show that, unlike algebras of classical algebraic theories, they admit implicit operations (operations compatible with homomorphisms) which are not induced by terms and that there are more than a proper class of such “wild” operations. We show how they are related to terms. IS - 3 JF - Algebra Universalis EP - 379 TI - The category of complete lattices as a category of algebras VL - 26 SP - 367 KW - algebras KW - complete-lattices AU - Reiterman, Jan PY - 1989/10/21/ UR - http://dx.doi.org/10.1007/BF01211843 ER -